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28345037318416 = 24713103227832631
BaseRepresentation
bin1100111000111100101111…
…11000010110100100010000
310201100202111101102202120101
412130132113320112210100
512203401114023142131
6140141310321222144
75653601306611030
oct634362770264420
9121322441382511
1028345037318416
119039076681485
12321955b791954
1312a7c05582a20
146ddc9b2238c0
153424bd31ac61
hex19c797e16910

28345037318416 has 160 divisors (see below), whose sum is σ = 68548980584448. Its totient is φ = 11055621173760.

The previous prime is 28345037318371. The next prime is 28345037318453. The reversal of 28345037318416 is 61481373054382.

It is a super-2 number, since 2×283450373184162 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33626421 + ... + 34459051.

Almost surely, 228345037318416 is an apocalyptic number.

28345037318416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28345037318416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34274490292224).

28345037318416 is an abundant number, since it is smaller than the sum of its proper divisors (40203943266032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28345037318416 is a wasteful number, since it uses less digits than its factorization.

28345037318416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832989 (or 832983 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 28345037318416 in words is "twenty-eight trillion, three hundred forty-five billion, thirty-seven million, three hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 182 206 208 227 364 412 454 721 728 824 908 1339 1442 1456 1589 1648 1816 2678 2884 2951 3178 3632 5356 5768 5902 6356 9373 10712 11536 11804 12712 18746 20657 21424 23381 23608 25424 37492 41314 46762 47216 74984 82628 93524 149968 163667 165256 187048 303953 327334 330512 374096 607906 654668 832631 1215812 1309336 1665262 2127671 2431624 2618672 3330524 4255342 4863248 5828417 6661048 8510684 10824203 11656834 13322096 17021368 21648406 23313668 34042736 43296812 46627336 75769421 85760993 86593624 93254672 151538842 171521986 173187248 189007237 303077684 343043972 378014474 600326951 606155368 686087944 756028948 1114892909 1200653902 1212310736 1323050659 1372175888 1512057896 2229785818 2401307804 2457094081 2646101318 3024115792 4459571636 4802615608 4914188162 5292202636 7804250363 8919143272 9605231216 9828376324 10584405272 15608500726 17199658567 17838286544 19467745411 19656752648 21168810544 31217001452 34399317134 38935490822 39313505296 62434002904 68798634268 77870981644 124868005808 136274217877 137597268536 155741963288 253080690343 272548435754 275194537072 311483926576 506161380686 545096871508 1012322761372 1090193743016 1771564832401 2024645522744 2180387486032 3543129664802 4049291045488 7086259329604 14172518659208 28345037318416